Solve (2x-1)^2=8 - ScanMath

Evaluate

(2 x - 1)^{2} = 8

Take the root of both sides of the equation and remember to use both positive and negative roots

2 x - 1 = \pm 8

Simplify the expression

2 x - 1 = \pm 22

Separate the equation into 2 possible cases

2 x - 1 = 22 2 x - 1 = - 22

Solve the equation

More Steps

x = \frac{2 2 + 1}{2} 2 x - 1 = - 22

Solve the equation

More Steps

x = \frac{2 2 + 1}{2} x = \frac{- 2 2 + 1}{2}

Solution

x_{1} = \frac{- 2 2 + 1}{2}, x_{2} = \frac{2 2 + 1}{2}

Alternative Form

x_{1} \approx - 0.914214, x_{2} \approx 1.914214

Solve the quadratic equation